Oscillatory motion of dissipative solitons induced by delay-feedback in inhomogeneous Kerr resonators

We investigate the destabilization mechanisms of dissipative solitons in inhomogeneous nonlinear res-onators subjected to injection and to time-delayed feedback. We consider the paradigmatic Lugiato-Lefever model describing inhomogeneous driven nonlinear optical resonator. We analyze the pinning-depinning transition of dissipative solitons by introducing a potential induced by the inhomogeneity. Fur-ther, we identify conditions under which these structures are destabilized and describe different bifurca-tion scenarios. We show that the combined influence of inhomogeneities and delayed feedback induces an Andronov-Hopf-bifurcation that leads to oscillations of the dissipative soliton around the inhomogene-ity. Finally, we show that for large values of the feedback strength, the dissipative solitons escapes from the potential well and starts to drift. (c) 2021 Elsevier Ltd. All rights reserved.

Jaar van publicatie:2021

Trefwoorden:LOCALIZED STRUCTURES; PATTERN-FORMATION; BIFURCATION; CHAOS

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:10

Auteurs:International

Authors from:Higher Education

Toegankelijkheid:Closed